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Finding the Fourth Proportional to 1,094.84, 1,643.92 and 942.44

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Solution

The fourth proportional to 1,094.84, 1,643.92 and 942.44 is: 1,415.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.84 : 1,643.92 = 942.44 : x
  2. Step 2: Convert to fraction form
    1,094.84/1,643.92 = 942.44/x
  3. Step 3: Cross multiply
    1,094.84x = 1,643.92 × 942.44
  4. Step 4: Simplify right side
    1,094.84x = 1,549,295.96
  5. Step 5: Solve for x
    x = 1,549,295.96/1,094.84
  6. Step 6: Final answer
    x = 1,415.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.